11759522374656 has 825 divisors, whose sum is σ = 41135780920091. Its totient is φ = 3359863535616.

The previous prime is 11759522374651. The next prime is 11759522374681. The reversal of 11759522374656 is 65647322595711.

The square root of 11759522374656 is 3429216.

It is a perfect power (a square), and thus also a powerful number.

11759522374656 is a `hidden beast` number, since 1 + 1 + 7 + 59 + 522 + 3 + 7 + 4 + 6 + 56 = 666.

It is a super-2 number, since 2×11759522374656² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

Its product of digits (95256000) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 11759522374593 and 11759522374602.

It is not an unprimeable number, because it can be changed into a prime (11759522374651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1679931767805 + ... + 1679931767811.

Almost surely, 2^{11759522374656} is an apocalyptic number.

11759522374656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11759522374656 is the 3429216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11759522374656

11759522374656 is an abundant number, since it is smaller than the sum of its proper divisors (29376258545435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11759522374656 is an frugal number, since it uses more digits than its factorization.

11759522374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 12 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 11759522374656 in words is "eleven trillion, seven hundred fifty-nine billion, five hundred twenty-two million, three hundred seventy-four thousand, six hundred fifty-six".